2 is added to twice a certain number and the
sum is doubled. The result is 10 less than 5 times
the original number. Find the original number.
Answers
Answer:
Answer is 4
Step-by-step explanation:
Lets take the unknown no. as 'x'
So, the expression is
2 + x
But then the sum i.e x is doubled..so it is..
2+ 2x =5x -10
Transfer -10 with 2 and 2x with 5x
When we transfer..the sign changes..
So it is
2+10 = 5x-2x
12 = 3x
x = 12/3 = 4
According to me this is the answer..i suggest u to check it with someone..hope it helps..plz mark the brainliest if it does..
Thanks...Hv a good day :D
Given :
• 2 is added to twice a certain number and the
sum is doubled.
• The result is 10 less than 5 times the original number.
To find :
• Original number
Solution :
Let the original number be x
According to the question,
→ 2(2 × (Original number) + 2) = (5 × Original number) - 10
→ 2(2 × x + 2) = (5 × x) - 10
→ 2(2x + 2) = 5x - 10
→ 4x + 4 = 5x - 10
→ 4x - 5x = - 10 - 4
→ - x = - 14
→ x = 14
→ x = 14
→ The value of x = 14
Therefore, the original number is 14
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
Let's verify :-
To verify the value of the original number. Substitute the value of x in 2(2x + 2) = 5x - 10
If the LHS will be equal to RHS the. the value is right.
→ Taking LHS :-
→ 2(2x + 2)
→ 4x + 4
→ 4(14) + 4
→ 56 + 4
→ 60
LHS = 60
→ Taking RHS :-
→ 5x - 10
→ 5(14) - 10
→ 70 - 10
→ 60
→ RHS = 60
LHS = RHS
Hence, verified!